[nathan_compton]

Why not dig a tunnel to the center of a smaller body like an asteroid?

I think you're talking about the fact that the gravitational force inside of a symmetric shell of matter is zero. But the potential is not, as can be (and has been, I believe) demonstrated quite easily by just putting a clock in a hole and measuring the time dilation relative to the surface.

Sorry you are at war. Good luck.

[oneshtein]

AFAIK, asteroids are nor solid, nor round. Moreover, their gravitational field is very low already. They are much further than Moon, so it will be harder to communicate.

Moreover, the tunnel itself will create much stronger impact on results on asteroid, than on Moon. If we will dig ∅1 cm tunnel to the center of the Moon, it missing volume will be pretty insignificant and easy to compensate, e.g. with lead plug.

Moreover, big and rigid Moon will be much better antenna for lot of experiments, than small and soft asteroid.